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21 July, 18:01

What is the measure of an angle if it is 70 less than three times its own complement?

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Answers (2)
  1. 21 July, 20:13
    0
    Let the angle be x.

    Hence, its complement is 90 - x.

    x = 3 * (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x

    4x = 200

    x = 50

    Thus, the angle is 50°.
  2. 21 July, 21:15
    0
    The complement of an angle is what you add to it to get 90 degrees

    if the angle is x, then the complement is y such that x+y=90

    an angle is 70 less than 3 times it's complement

    x=-70+3y

    hmm

    x+y=90

    minus x both sides

    y=90-x

    subsitute 90-x for y

    x=-70+3y

    x=-70+3 (90-x)

    x=-70+270-3x

    x=200-3x

    add 4x to both sides

    4x=200

    divide both sides by 4

    x=50

    the angle is 50°
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